Pith Number

pith:4DC2STR6

pith:2026:4DC2STR6V74AI2ZBJ3OOJ5LECD

not attested not anchored not stored refs pending

On the Spectral Synthesis of Lipschitz Persistence Diagram Vectorizations

Charles Fanning, Mehmet Emin Aktas

arxiv:2607.16957 v1 · 2026-07-18 · math.FA · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4DC2STR6V74AI2ZBJ3OOJ5LECD}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-21T01:21:08.089922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0c5a94e3eaff8046b214edce4f56410e06f5605181c6570ef99ee5c58746156

Aliases

arxiv: 2607.16957 · arxiv_version: 2607.16957v1 · doi: 10.48550/arxiv.2607.16957 · pith_short_12: 4DC2STR6V74A · pith_short_16: 4DC2STR6V74AI2ZB · pith_short_8: 4DC2STR6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4DC2STR6V74AI2ZBJ3OOJ5LECD \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e0c5a94e3eaff8046b214edce4f56410e06f5605181c6570ef99ee5c58746156

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32c1717b64d3f5671f7f2a302d38acd6fd8f689029aef64b97d42a7c1fe90b15",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-07-18T20:22:28Z",
    "title_canon_sha256": "06d217177d7b5f2ee869daaaf63b336ea450be41ee2721debc7fa21e1660b7ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16957",
    "kind": "arxiv",
    "version": 1
  }
}